Reviews for Mathematics

The average rating for Mathematics based on 2 reviews is 4 stars.

Review # 1 was written on 2015-03-11 00:00:00 Michael Flynn The first chapter is about number theory, the second about proofs and logic, the third about motion. Six chapters in all, suitable for a layperson with only high school math. Each chapter is organized chronologically, with new theories often presented as attempts to resolve known contradictions. I wish that I had read math books of this kind when I was younger.

Review # 2 was written on 2021-02-13 00:00:00 Dallas Robinson Mathematics the science of patterns written by keith devlin published by scientific america library was a refreshing read. At 216 pages it took me about 3 weeks to read on and off although if I calculate total time it took to read this probably happened in a four or five day span. With those days being days of high concentration for this work. This book reminded me of the history of mathematics which was so nessicary in helping me to understand some fundamental concepts that I simply missed in other readings. The topics in the contents where as such Preface Prologue Counting Reasoning and Communicating Motion and Change Shape Symmetry and regularity Position Postscript Further Readings Sources of Illustration Index. I think that the artist that did the layout did a good job. Although I would not say that the book was as complete artistically as many roleplaying texts it still was lovely. Which is something I think one should aspire for in their work is a cohesive tour de force of content and layout with both balancing one another. The purpose of this text is to give one a sense of the purpose of the study of the science of pattern going into a slurry of topics that shows the connection and the beauty of the study of pattern. Further the work hopes to describe and works with the idea of abstraction and how evermore the day we abstract some still from the hopes of the infinite region. Chapter 1 Couting. Here it recalls the rise of counting and its purpose and how people counted and why. In the beginning of counting their was set to be a matching system where one would match an object with another object and then compare. Then their was idyllic markings placed in soft clay or on envelopes of tokens to keep track of things. So even then it might be seen that man was cybernetic storing important information outside of themselves. Then as a subtopic we move to Greek Mathematics. The description then starts to enter and entertain the possibility that our abstraction grew sometime before this yet it was unknown and although this had occurred we would further abstract previous works. Area of a truntacated square pyramid V = 1/3h(a^2 +ab +b^2) The seven liberal arts where Quadrivium Arithmetica(number theory) Harmonia(music) Geometria(geometry) Astrologia(astronomy) Trivium Logic Grammar Rhetoric These where necessary of an educated man at the time. I think that part of the undercurrent and the design of this work is in this vein as well whereas the fellow covers in some degree all of these topics. I wonder if he was speaking out through the ages to times now past to remember and respect these aspects of the mind. Subtopics of couting Prime Numbers Finite Arithmetic Prime Number Patterns Message Encryption Fermat's Last Theorem Chapter 2 Reasoning and Communication Greek logic Venn Diagrams Booles Logic Vector Algebra Propositional Logic Predicate Logic and Patterns of Language Abstraction and the Axiomatic Method Set Theory Numbers from Nothing Hilberts Program Godel's Theorem Proof theory Model theory Set theory Computability theory Patterns of Language Motion and Change Paradox of Motion Number Patterns in Motion Infinite Series Functions Computing gradients Gradient of straight line from p to q ((x+h)^2 - x^2) / h Fathers of calculus Fourier Analysis Differential Calculus Differentional Equations Integration Real Numbers Complex Numbers Fundamental Theorem of algebra eulers formula e^ix = cosx + i sinx Analytic Number Theory Shape Eucilds Axioms Euclids Elements The golden ratio (x+1) / x = x/1 Platos Atomic Theory Keplers Planetary Theory Cartesian Geometry Three Classic Problems Non Euclidean Geometries Projective Geometry Cross Ratio Dimension Symmetry and Regularity Symmetry Groups Symmetry in greek is ice Sphere Packing Wallpaper Patterns Tiling Position Networks Topology Classification of Surfaces Knots Genetic Knots Fermat's Last Theorem Again Postscript This describes the many things that where not discussed throughout the book which is to say a great many. Further Reading Sources of Illustration